Why Are Cuprates the Only High-Temperature Superconductors?

Details Why Are Cuprates the Only High-Temperature Superconductors? Why Are Cuprates the Only High-Temperature Superconductors?

2004-02-04

arxiv.org/abs/cond-mat/0402111v1

Physics

Condensed Matter

Superconductivity

20 pages plus two figures (jcphillips8@comcast.net)

Scientific paper

The heirarchical mean-field theory of elastic networks, originally developed by Maxwell to discuss the stability of scaffolds, and recently applied to atomic networks by Phillips and Thorpe, explains the phase diagrams and remarkable superconductive properties of cuprates as the result of giant electron-phonon interactions in a marginally unstable mechanical network. The overall cuprate networks are fragile (floppy), as shown quantitatively (with an accuracy ~1 percent), and without adjustable parameters, by comparison with stabilities of generically similar network glasses, and are stabilized by percolative backbones composed of CuO2 planes.

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